4 papers
The phase transition for domination in two interacting urns with power reinforcement
Jiaming Xia
We study two interacting urns with power reinforcement , for . Using Qin's stochastic-approximation theorem as input, we reduce the phase transition problem for do…
Multi-point functions of a full-plane two-state fuzzy -Potts model
Hong-Bin Chen, Jiaming Xia
We study the full-plane two-state fuzzy -Potts model, obtained by assigning independent balanced spins to the open clusters of a critical random-cluster configu…
Critical exponents for planar random-cluster model with cluster-weight
Hong-Bin Chen, Hugo Duminil-Copin, Tiancheng He +4
Using the Baxter-Kelland-Wu coupling and the convergence of the height function of the six-vertex model to the Gaussian Free Field, we extract critical exponents for the planar cri…
Hamilton-Jacobi equations from mean-field spin glasses
Hong-Bin Chen, Jiaming Xia
We give a meaning to the Hamilton--Jacobi equation arising from mean-field spin glass models in the viscosity sense, and establish the corresponding well-posedness. Originally defi…